# CAT 2011 | Question: 3

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Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commision and cost. His commission is fixed and equals $₹560$ per assignment while the cost equals $₹2n^2$ where, $n$ is the total number of chairs he makes. If for a certain assignment the average cost per chair is not more than $₹68$, then the minimum and maximum possible number of chairs in the assignment are, respectively.

1. $13\:\text{and}\:19$
2. $13\:\text{and}\:20$
3. $14\:\text{and}\:19$
4. $14\:\text{and}\:20$

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